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Finding the Fourth Proportional to 133,187.88, 199,729.44 and 54,273.60

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Solution

The fourth proportional to 133,187.88, 199,729.44 and 54,273.60 is: 81,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,187.88 : 199,729.44 = 54,273.60 : x
  2. Step 2: Convert to fraction form
    133,187.88/199,729.44 = 54,273.60/x
  3. Step 3: Cross multiply
    133,187.88x = 199,729.44 × 54,273.60
  4. Step 4: Simplify right side
    133,187.88x = 10,840,035,734.78
  5. Step 5: Solve for x
    x = 10,840,035,734.78/133,187.88
  6. Step 6: Final answer
    x = 81,389.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.